Puzzleup 2011 (18) Right Triangles on a Square - 拼圖

題目網址: www.puzzleup.com/2011/puzzle/?236
加分時限: 11/24 7PM - 11/29 7PM

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◆Right Triangles on a Square

Four right triangles are drawn superimposed on the four edges of a square.
The conditions are:

‧ Each triangle has a common edge with the square.
‧ The four triangles have different areas.
‧ All of the edges have integer lengths.

What is the possible minimum value for the length of an edge of the square?

有四個直角三角形分別畫在一個正方形的四邊之上。條件如下：

* 每個三角形都和正方形共一邊；
* 四個三角形要有不同面積；
* 每個邊長都要是整數。

試問這正方形的最小邊長為何？

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好有既視感的一題...(望向今年的第三題 #1EKlUdD8)

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LPH [acronym]
= Let Program Heal us
-- New Uncyclopedian Dictionary, Minmei Publishing Co.

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